A Short Note on Gage’s Isoperimetric Inequality

Abstract

In this short note we shall first use Minkowski’s support function to restate Gage’s isoperimetric inequality as an integral inequality about positive periodic function, which can be considered as a mathematical analysis version of Gage’s inequality, and then strengthen the inequality in a more isoperimetric form as a conjecture. We are expecting a proof of… (More)

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